TITLE

NUMERICAL TREATMENTS FOR VOLTERRA DELAY INTEGRO-DIFFERENTIAL EQUATIONS

AUTHOR(S)
RIHAN, F. A.; DOHA, E. H.; HASSAN, M. I.; KAMEL, N. M.
PUB. DATE
July 2009
SOURCE
Computational Methods in Applied Mathematics;2009, Vol. 9 Issue 3, p292
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
This paper presents a new technique for numerical treatments of Volterra delay integro-differential equations that have many applications in biological and physical sciences. The technique is based on the mono-implicit Runge - Kutta method (described in [12]) for treating the differential part and the collocation method (using Boole's quadrature rule) for treating the integral part. The efficiency and stability properties of this technique have been studied. Numerical results are presented to demonstrate the effectiveness of the methodology.
ACCESSION #
43536900

 

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